Question

find the number of distinct Permutations of the letters of
the word SURROUNDINGES.​

Answer 1

Number of letters in the word STATISTICS=10.

We  know after fixing two S ′  s (one in  the begining and the other in the end), the number of remaining letters =10−2=8.

Since the remaining letters have three T  ′  s and two I  ′ s therefore, the number of distinct permutations

$\frac{8}{3 X 2} = \frac{8X6X5X3}{3X2} =3360$